100 Points Please Help
Explain the relationship between the shape of the base of a prism and the number of lateral faces. Use examples to justify your answer.

Answers

Answer 1

Answer:

A prism is a three-dimensional solid figure with two parallel faces, called bases, that are congruent polygons, and lateral flat faces which are rectangles in a right prism, and are parallelograms in an oblique prism.

Sample response: A triangular prism has a 3-sided base and 3 lateral faces. A rectangular prism has a 4-sided base and 4 lateral faces. The number of sides of the base of a prism is equal to the number of lateral faces of the prism.

 Step-by-step explanation:

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Related Questions

In circle A as shown below, segment DC is tangent to circle A at D.
Also, DC = 4 and BC = 2.

Find the length of the radius of circle A.
3
5
6
12.

Answers

Answer:

AB = 3

Step-by-step explanation:

AB = AD

AB² + 4² = (AB + 2)²

AB² + 16 = AB² + 4AB + 4

combine like terms:

4AB = 12

AB = 3

The length of the radius of the circle is 3 units.

The correct option is A.

What is Pythagoras' theorem?

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.

Given:

Circle A is shown in the given image.

And segment DC is tangent to circle A at D.

DC = 4 and BC = 2.

The radius of the circle = AB = AD.

So, by the Pythagoras' theorem,

(AB + 2)² = (AB)² + (CD)²

(AB + 2)² = (AB)² + 16

(AB)² + 4AB + 4 = (AB)² + 16

4AB = 12

AB = 12/4

AB = 3

Therefore, AB = 3 units.

To learn more about the Pythagoras theorem;

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Kayla invested $88,000 in an account paying an interest rate of 8 % compounded
daily. Sadie invested $88,000 in an account paying an interest rate of 8 %
compounded quarterly. After 16 years, how much more money would Sadie have in
her account than Kayla, to the nearest dollar?

Answers

Answer:

$21847

Step-by-step explanation:

Is it Surface area or Lateral and then solve it

Answers

Answer:

lateral

Step-by-step explanation:

ANSWER ALL OF THESE RIGHT AND YOU GET 60 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Find the following sums and differences. Show your work.
a. 4 gal 2 qt + 5 gal 3 qt = ? gal ? qt
b. 6 ft 2 in − 9 inches = ? ft ?in
c. 3 min 34 sec + 7 min 46 sec = ? min ? sec
d. 24 lb 9 oz − 3 lb 11 oz = ? lb ? oz

Answers

a. 10 gallons 1 qt
b. 5 ft 5 in
c. 11 min 20 sec
d. 20 lb 14 oz

HELPPP ME PLEASE ITS DUE TODAY!!!!

Answers

Answer:

d = -4.7

Step-by-step explanation:

d + 0.7 = -4

subtract 0.7 from both sides

d + 0.7 = -4

   - 0.7    -0.7

d = -4.7

d + 0.7=-4
d+0.7-0.7=-4-0.7
d=-4.7
It’s hard to explain but d equals -4.7

1 1/2 is_____% of 7 1/2

Answers

Answer:

1 1/2 is__11/15___% of 7 1/2

Step-by-step explanation:

Given

Number - [tex]7\frac{1}{2} = \frac{15}{2}[/tex]

Let X % of [tex]\frac{15}{2} = \frac{11}{2}[/tex]

X % is thus equal to

[tex]\frac{11}{2} * \frac{2}{15} \\\frac{11}{15}[/tex]

What ways to get 109

Answers

110 - 1 = 109

1 x 109 = 109

Answer:

[tex]110 - 1 = 109 \\ 200 - 91 = 109 \\ thank \: you[/tex]

Baker ate 3/4 pound of fried shrimp. Jadarius are three times as much as Baker, and Darrick ate 20 ounces of fried shrimp. How many total ounces of fried shrimp did they eat altogether?
IF YOU GET THIS RIGHT I WILL GIVE YOU 12 POINTS

Answers

They altogether ate 68 ounces of fried shrimp ..hope it help u! Tq
Regards Ayra

helppppppppppppppppp
what is the x coordinate of point A?
what is the y coordinate of point D?
which point is on the x axis ?
which point is on the y axis ?​

Answers

Answer:

The x-coordinate of point A is: 6

The y-coordinate of point D is: 3

The point that is on the x-axis is: Point E

The point that is on the y-axis is: Point B

Step-by-step explanation:

Hope this helps :)

Answer:

6 = x-coordinate of Point A

3 = y-coordinate of point D

E is on the x-axis

B is on the y-axis

Step-by-step explanation:

Help 6.5.AP-23 There were 675 people in line for a rock concert. Only 486 people got into the concert. Select the percent of people in line that did NOT get into the concert. Select the percent of people in line that did NOT get into the concert. O A. 75% OB. 30% OC. 72% OD. 28%​

Answers

Answer:

D. 28%

Step-by-step explanation:

675 people - 486 people that got in = 189 people left out

189 people out of 675 people = 189 / 675 = 0.28 or 28%

The diameter of your bicycle wheel is 24 inches. How far will you move in one turn of your wheel?

Answers

Answer:

24pi inches, or 75.3982237in

Step-by-step explanation:

circumference is diameter times pi

Write the number in 2 equivalent forms as a fraction, decimal, or percent.
20
20

Answers

Answer:

11/100 as a fraction

.11 as a decimal

step-by-step explanation:

can someone help my lil sis.

Answers

Answer:

-24

Step-by-step explanation:

plug the values into the expression and simplify:

[tex]-4 - 4(5)\\-4-20\\-24[/tex]

So, the answer is -24.

Answer:

16

Step-by-step explanation:

4 - 4 * 5

Which sentence is written correctly?

Group of answer choices

For the field trip I packed the following items; swim gear including my goggles and a bathing suit, a lunch, as well as a snack and plenty of sunscreen.

For the field trip I packed the following items, swim gear, including my goggles and a bathing suit, a lunch, as well as a snack, and plenty of sunscreen.

For the field trip I packed the following items: swim gear, including my goggles and a bathing suit; a lunch, as well as a snack; and plenty of sunscreen.

For the field trip I packed, the following items: swim gear, including my goggles and a bathing suit; a lunch, as well as a snack, and plenty of sunscreen.



Which sentence is written correctly?

Group of answer choices

After talking about the plot events of the movie, we discussed the characters.

After talking about the plot events, of the movie we discussed the characters.

After talking about the plot events of the movie we discussed the characters.

After talking about the plot events of the movie we discussed; the characters.




Which sentence is written correctly?

Group of answer choices

Can you please pass the carrots, Robert?

Can you please pass the carrots; Robert?

Can you please pass the carrots Robert?

Can you please pass the carrots, “Robert”?




Which sentence is written correctly?

Group of answer choices

If there is an early school closing, the superintendent notifies: the local radio station, WXPL, the principals of the elementary, middle, and high schools; and the public television station.

If there is an early school closing the superintendent notifies, the local radio station, WXPL; the principals of the elementary, middle and high schools; and the public television station.

If, there is an early school closing, the superintendent notifies the local radio station, WXPL; the principals of the elementary, middle, and high schools and the public television station.

If there is an early school closing, the superintendent notifies the local radio station, WXPL; the principals of the elementary, middle, and high schools; and the public television station.



Which sentence is written correctly?

Group of answer choices

While, Mrs. Izumo, checked out my books I opened my backpack.

While Mrs. Izumo checked out my books; I opened my backpack.

While Mrs. Izumo, checked out my books, I opened my backpack.

While Mrs. Izumo checked out my books, I opened my backpack.




Which sentence is written correctly?

Group of answer choices

Riley is planning to join us isn’t he.

Riley is planning, to join us, isn’t he?

Riley is planning to join us, isn’t he?

Riley is planning to join us; isn’t he?




Which sentence is written correctly?

Group of answer choices

Raccoons; squirrels; and snails live in my backyard.

Raccoons, squirrels, and snails live in my backyard.

Raccoons squirrels and snails, live in my backyard.

Raccoons squirrels, and snails live in my backyard.




Which sentence is written correctly?
Group of answer choices

“Yes, I’d like some soup, please,” she said.

“Yes I’d like some soup, please.” she said.

“Yes, I’d like some soup; please,” she said.

Yes; I’d like some soup please,” she said.




Which sentence is written correctly?

Group of answer choices

For homework last week we had division, multiplication and fraction problems a story about two friends, and an outline for the science fair.

For homework, last week we had division, multiplication; and fraction problems; a story about two friends, and an outline for the science fair.

For homework last week, we had division, multiplication, and fraction problems; a story about two friends; and an outline for the science fair.

For homework last week, we had division, multiplication, and fraction problems, a story about two friends, and an outline for the science fair.





Which sentence is written correctly?
Group of answer choices

If you would rather walk let’s take: an umbrella.

If you would rather walk, let’s take an umbrella.

If you, would rather walk, let’s take an umbrella.

If you would rather walk let’s take; an umbrella.

Answers

Answer After talking about the plot events, of the movie we discussed the characters. is correct

Answer:

After talking about the plot events of the movie we discussed the characters.

Step-by-step explanation:

Hope it helps u

FOLLOW MY ACCOUNT PLS PLS

A salesman earns 7% commission on all the merchandise that he sells. Last month he sold $6000 worth of merchandise. How much commission (in dollars) did he earn last month?

Answers

Answer: $420

Step-by-step explanation:

Percentage on commission earned = 7%

Amount of merchandise sold = $6000

Amount of commission earned = Percentage on commission earned × Amount of merchandise sold

= 7% × $6000

= 7/100 × $6000

= 0.07 × $6000

= $420

He earned $420 as commission last month.

If 5x+10y=−3 is a true equation, what would be the value of 5x+10y+7?

Answers

Answer:

4

Step-by-step explanation:

5x + 10y = − 3.... (given)

Adding 7 on both sides,

5x + 10y + 7 = - 3 + 7

5x + 10y + 7 = 4

Tony love finding the area, such as pizza slices. His favorite pizza is a pepperoni with mushrooms that he can't stop talking about. The diameter is 18 inches and it is always cut into 6 slices of exactly the same size. In terms of pi, what is the surface area of one slice of the large pizza? (hint: think of the pizza as a sector you want to find the area of). Fill in your answers in the form of a fraction, aπb. You do not need to worry about pi as it is already built into the answer.

Answers

Answer:

[tex]\frac{27\pi }{2}[/tex] square inches.

Step-by-step explanation:

The pizza would have a circular shape so that dividing it into 6 slices implies that there are 6 sectors.

The central angle formed by each sliced pizza = [tex]\frac{360}{6}[/tex]

                                                                  = [tex]60^{o}[/tex]

Given that the diameter = 18 inches, thus;

radius = [tex]\frac{18}{2}[/tex]

          = 9.0 inches

Since the sliced pizza now has the shape of a sector, then;

the surface area of each large pizza = (θ/360)* [tex]\pi[/tex][tex]r^{2}[/tex]

                                   = [tex]\frac{60}{360}[/tex]*[tex]\pi[/tex]*[tex](9)^{2}[/tex]

                                   = [tex]\frac{1}{6}[/tex]*[tex]\pi[/tex]*81

                                   = 13.5[tex]\pi[/tex] square inches

Surface area of each large pizza = [tex]\frac{27\pi }{2}[/tex] square inches

The surface are of one slice of the large pizza is [tex]\frac{27\pi }{2}[/tex] square inches.

what is the circumference of a circle with a diameter of 40

Answers

The circumference of the circle with a diameter of 40 is approximately 125.6636 units.

To calculate the circumference of a circle, we can use the formula:

Circumference = π * Diameter

Given that the diameter of the circle is 40, we can substitute this value into the formula:

Circumference = π * 40

The value of π (pi) is approximately 3.14159, so we can further simplify the equation:

Circumference ≈ 3.14159 * 40

Calculating this expression gives us:

Circumference ≈ 125.6636

Therefore, the circumference of the circle with a diameter of 40 is approximately 125.6636 units. Note that the unit of measurement is not provided in the question, so the answer is given in generic units.

For more such questions on circumference

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Give the best name for the quadrilateral
with vertices (-1, 1), (1, 3), (3, 1), and
(1, -3).

Answers

Answer: kite (2 pairs of adjacent, congruent sides)

Miriam packed 4 T-shirts, 3 pairs of shorts and two pairs of shoes for her vacation. How many different T-shirt, short and shoe outfit combinations can she wea

Answers

Answer:

24

Step-by-step explanation:

help meeeeeeee valid answers get brainliest

Answers

Answer: 955.04 in^2

Step-by-step explanation:

Can someone help me on this question I kinda forgot how to find slope lol

Answers

Answer:

D

Step-by-step explanation:

Find the Surface Area of
8 m
5 m
3 m

Answers

Answer:

S=(8*5*3)m3

=120mcube

(HELP) Find the measures of the angles marked with letters.​

Answers

y= 70°
In an isosceles triangle the two base angles are the same and as angles in a triangle add to 180, 180-40=140, 140/2= 70

HELPP MEE ASAPPP PLSSS What is the slope of the line below? If necessary, enter your answer as a
fraction in lowest terms, using the slash (/) as the fraction bar. Do not enter
your answer as a decimal number or an equation.
(3,7) (-2,-3) MUST BE A FRACTION

Answers

Answer:

2/1

Step-by-step explanation:

Use the equation m=[tex]\frac{y2-y1}{x2-x1}[/tex]

the answer is 2/1, i hope this helps

7. x + y = 8 x - y = 4​

Answers

Answer:

7. x + y = 8 x - y = 4

2

jope in help

Answer:

x=6 y=2

Step-by-step explanation:

6+2=8 and 6-2=4 so x has to be 6 and y has to be 2

Dimensions of cone

Radius:8
Height:2

Diameter :6
Height :4

Radius:2.5
Height 2


Find the volume of a cone




Find the volume of a cylinder


Answers

452.16

39.27

402.12

113.1

133.97

15.7

108.56

100.48

37.68

Answers

Answer:

133.97

Step-by-step explanation:

Fourteen percent of the town's population is over the age of 65. If there are 320
residents over the age of 65, approximately what is the town's population?

Answers

Answer:

2,285.7143

Step-by-step explanation:

There are two ways of doing this.

#1: Take 320, and divide it by the 14%. This should get you how many people are eqivlelent to 1 percent. When I did it out, 320/14 is equal 22.857143...

Remember this is 1%, and we need to find 100%. So we need to multiply the 1%, which was 22.857143, by 100.

This should get you 2,285.7143.

#2 Take your 100%, and divide it by the 14% that make up the 65+ population. This should get you 7.1428571.

Now you just have to multiply this number by the amount of 65+ residents, which is 320. So you should multiply 320x7.1428571.

This should get you the same exact answer, 2,285.7143

Answer:

2,285.7143

Help me plz!!!!
The probability of spinning an even number on this
spinner is 0.6, Which word describes the likelihood of
this event?
A.Certain
B. Likely
C. Neither likely nor unlikely
D.Unlikely

Answers

Answer: Likely

Explaination: More than 50% of the spinner is even.

Therefore, it's likely that the spinner will

land on an even number.

Bobby calculates the mean number of goals for each of the players on a hockey team in the set {4, 7, 5, 8, 12, 2, 3, 5, 7}. Determine the mean absolute deviation (MAD) of goals for this team. Round your answers to the nearest tenth.

Answers

Answer:

2.3

Step-by-step explanation:

n = Number of data points = [tex]9[/tex]

The data set is

[tex]4, 7, 5, 8, 12, 2, 3, 5, 7[/tex]

Mean

[tex]\bar{x}=\dfrac{4+7+5+8+12+2+3+5+7}{9}=5.89[/tex]

Absolute mean deviation

[tex]\dfrac{|4-5.89|+|7-5.89|+|5-5.89|+|8-5.89|+|12-5.89|}{9}\\+\dfrac{|2-5.89|+|3-5.89|+|5-5.89|+|7-5.89|}{9}=2.3[/tex]

The mean absolute deviation of the data set is [tex]2.3[/tex].

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